First note the intersections of each pair of lines.
x = 3 ⇒ y = 2•3 + 1 = 7 ⇒ (3, 7)
y = -3 ⇒ -3 = 2x + 1 ⇒ x = -2 ⇒ (-2, -3)
y = -3 and x = 3 ⇒ (3, -3)
Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of
∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y
As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral
Answer:
1 cubic inch
Step-by-step explanation:
For rectangular prism:
Answer:
A y=5x
Step-by-step explanation:
We need to find the slope
Given the two point (0,0) and (2,10)
slope = m = (y2-y1)/(x2-x1)
=(10-0)/(2-0)
= 10/2
=5
The slope is 5
We know the y intercept ( where it crosses the y axis) is at 0
The equation of a line in slope intercept form is y= mx+b
y = 5x+0
y=5x
Need to know the angle for this I think?
Answer:
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